Question

Please gelp with the attached picture if my algebra 1 hw

Answer 1

Answer:

The y-intercept = (0, 12621)

Step-by-step explanation:

The initial population, P₀ = 12,621

Rate of increase, r = 6% = 6/100

r = 0.06

The number of years after the first census = x

The population after x years is given as:

`\begin{gathered} P=P_0(1+r)^x \\ P=12621(1+0.06)^x \\ P=12621(1.06)^x \end{gathered}`

The graph that represents the above illustration is shown below

The y-intercept is found by setting x = 0, and finding the corresponding value of P

`\begin{gathered} P=12621(1.06)^x \\ P=12621(1.06)^0 \\ P=12621 \end{gathered}`

The y-intercept = (0, 12621)